6(y-1)+12(y+1)=24

Solution for 6(y-1)+12(y+1)=24 equation:

Simplifying
6(y + -1) + 12(y + 1) = 24

Reorder the terms:
6(-1 + y) + 12(y + 1) = 24
(-1 * 6 + y * 6) + 12(y + 1) = 24
(-6 + 6y) + 12(y + 1) = 24

Reorder the terms:
-6 + 6y + 12(1 + y) = 24
-6 + 6y + (1 * 12 + y * 12) = 24
-6 + 6y + (12 + 12y) = 24

Reorder the terms:
-6 + 12 + 6y + 12y = 24

Combine like terms: -6 + 12 = 6
6 + 6y + 12y = 24

Combine like terms: 6y + 12y = 18y
6 + 18y = 24

Solving
6 + 18y = 24

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 18y = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 18y = 24 + -6
18y = 24 + -6

Combine like terms: 24 + -6 = 18
18y = 18

Divide each side by '18'.
y = 1

Simplifying
y = 1